Search a number
-
+
22068240192 = 2632172397987
BaseRepresentation
bin10100100011010111…
…101001111101000000
32002221222021202102100
4110203113221331000
5330143432141232
614045450550400
71410604642455
oct244327517500
962858252370
1022068240192
1193a4a45539
12433a738400
1321090257bb
1410d4c6582c
1589260cc7c
hex5235e9f40

22068240192 has 168 divisors, whose sum is σ = 69888177216. Its totient is φ = 6622285824.

The previous prime is 22068240191. The next prime is 22068240203. The reversal of 22068240192 is 29104286022.

22068240192 is a `hidden beast` number, since 220 + 6 + 8 + 240 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22068240191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176223 + ... + 274209.

Almost surely, 222068240192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22068240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944088608).

22068240192 is an abundant number, since it is smaller than the sum of its proper divisors (47819937024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22068240192 is a wasteful number, since it uses less digits than its factorization.

22068240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98045 (or 98032 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22068240192 in words is "twenty-two billion, sixty-eight million, two hundred forty thousand, one hundred ninety-two".